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Finding the Third Proportional to 12,132.50 and 19,293

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Solution

The third proportional to 12,132.50 and 19,293 is: 30,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.50 : 19,293 = 19,293 : x
  2. Step 2: Convert to fraction form
    12,132.50/19,293 = 19,293/x
  3. Step 3: Cross multiply
    12,132.50x = 19,293 × 19,293
  4. Step 4: Simplify right side
    12,132.50x = 372,219,849
  5. Step 5: Solve for x
    x = 372,219,849/12,132.50
  6. Step 6: Final answer
    x = 30,679.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.